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Finding the Fourth Proportional to 43.42, 65.15 and 19.05

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Solution

The fourth proportional to 43.42, 65.15 and 19.05 is: 28.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.42 : 65.15 = 19.05 : x
  2. Step 2: Convert to fraction form
    43.42/65.15 = 19.05/x
  3. Step 3: Cross multiply
    43.42x = 65.15 × 19.05
  4. Step 4: Simplify right side
    43.42x = 1,241.14
  5. Step 5: Solve for x
    x = 1,241.14/43.42
  6. Step 6: Final answer
    x = 28.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.